A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answers

Answer 1

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

Learn more about distance here:

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Related Questions

Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!

Answers

LETTER B IS THE CORRECT ANSWER

5-3x5* Whats the answer

Answers

Answer:

-10

Step-by-step explanation:

5 - 3*5

= 5 - 15

= -10

Please help pls pls pls pls it’s due soon

Answers

Answer:

the answer is 67.5

Step-by-step explanation:

look at the photo

Solve 6x - 3y = 12 for y.​

Answers

Answer:

6x-3y=12

+3y

6x=3y+12

divide by 3

2x=y+4

-4

y=2x-4

Hope This Helps!!!

An airplane flying with the wind takes 5 hours to travel a distance of 960 miles. The return trip takes 6 hours flying against the wind. What is the speed of the airplane in still air and how fast is the wind blowing? ​

Answers

let's recall that d = rt, distance = rate * time.

a = speed of the airplane in still air.

w = speed of the wind

the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.

when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.

when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]

a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width



PLEASE HELP ASAP!!! IM STUCK ON THIS

Answers

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

Solve the equation for y.

2x + 5y = 5


y=25x+1

y=−10x+25

y=−25x+1

y=25x+5

Answers

Answer: C

Step-by-step explanation:

[tex]2x+5y=5[/tex]

[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]

[tex]2x+5y-2x=5-2x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=5-2x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]

HELP ME ON TANGENTS, ARCS AND CHORDS! 1

Answers

The answer is 0 because 0 to the 4 is 0

Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Answers

Answer:

27

Step-by-step explanation:

       Let g be Gabrielle's age and m be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      g = 2m

       The sum of their ages is 81:

                      g + m = 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m = [tex]\frac{81}{3}[/tex]

m = 27

       If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

Answer:

Mikhail is 27

Step-by-step explanation:

Use 'm' to represent Mikhail's ageUse g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.You know that both of their ages combined must equal 81. This can be represented by g + m = 81Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81Combine like variables and divide to get Mikhail's age.

**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.

Hope this helps!

An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=

16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.

Answers

Answer:

  0.772 seconds; 9.228 seconds

Step-by-step explanation:

The given projectile formula with the given numbers filled in is ...

  [tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]

We can "complete the square" to solve this for t, the times at which the height is 114 feet.

  16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16

  t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square

  t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5

  t ∈ {0.772, 9.228}

The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.

Write in 0.85 as a common fractionin its simplest form

Answers

[tex]\mathsf\pink{♧ANSWER♧}[/tex]

[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]

85/100 = 17/20

first we write the fraction from of 0.85 which is 85/100

then for simplifying it, we divide both 85 and 100 by 5

then we get to 17/20 which is our final answer

which fraction is the biggest?


[tex] \frac{2}{3} [/tex]

[tex] \frac{4}{5} [/tex]

[tex] \frac{7}{8} [/tex]

Answers

7/8 is the biggest fraction

00:23:04
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Product A sells 2.5 times more than Product B. Product B sells 60% less than Product C. Product C sold 25,000 units this month.
How many units of Product A were sold?
10,000
15,000
25,000 37,500 62,500

Answers

Answer:37,500

Step-by-step explanation: Find 60% of 25000 which is 15000 then multiply by 2.5

Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5​

Answers

Answer:

B. 1/4

Step-by-step explanation:

Even though A is a fraction it is also an integer (4)

What is M G to the nearest tenth

Answers

Answer:

tan m‹G = 28.2/45.8

m‹G= 31.62°

Which is the logarithmic form of 83 = 512?

log8 512 = 3

log512 9 = 2

log3 512 = 8

log3 8 = 512

Answers

Answer:

no solution,because the Is no 83=512 there

FIND THE MISSING LENGTH.

Answers

Answer:

  x = 9

  x+7 = 16

Step-by-step explanation:

The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.

  long side/short side = (x+7)/12 = 12/x

  x(x +7) = 12²

  x +7x -144 = 0 . . . . . subtract 144 to put in standard form

  (x +16)(x -9) = 0 . . . . factor

  x = 9 . . . . . . only the positive solution is useful here

The missing lengths are ...

x = DC = 9x+7 = DA = 16

Flying against the jetstream, a jet travels 2370 miles in 3 hours. Flying with the jetstream, the same jet travels 6350 miles in 5 hours. What is the rate of the jet in still air and what is the rate of the jetstream? ​

Answers

Velocity of jet in still air is

970

miles per hour and velocity of wind is

210

miles per hour.

Explanation:

Jet's velocity against wind is

3040

4

=

760

mile per hour and flying with wind it is

8260

7

=

1180

miles per hour.

Let the velocity of jet in still air be

x

miles per hour and velocity of wind be

y

miles per hour.

As such its velocity against wind is

x

y

and with wind is

x

+

y

and therefore

x

y

=

760

and

x

+

y

=

1180

Adding the two

2

x

=

1940

and

x

=

970

and

y

=

1180

970

=

210

Hence velocity of jet in still air is

970

miles per hour and velocity of wind is

210

miles per hour.

The speed of an aircraft in still air is 200kmh−1. The wind blows from the west at a speed of 85.0kmh−1.

1 Expert Answer

The speed of the plane in still air is 110 mph.

Multiply the headwind or tailwind component by your estimated flight time expressed as a decimal, such as "3.2 hours." Add the result (don't forget that tailwinds are negative numbers) to the geographic distance of your route. The resulting number will be total nautical air miles of your trip.

cos(theta) / sin(theta)cot(theta) = 1

Answers

Hope it helps best of luckkkkk

Determine f”(1) for the function f(x)=(3x^2-5x^2)^2.

Answers

Answer: 48

Step-by-step explanation:

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

Answers

Answer:

Length: 17 in, Width: 12 in

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=58

4w=48

w=12, l=17

Answer:

Length = 17 inches

Width = 12 inches

Step-by-step explanation:

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

Now, According to the Question :

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]

Therefore,

The width of the rectangle is 12 inches .

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]

Therefore,

The length of the rectangle is 17 inches .

The area of the polygon shown in the figure is _______.

Answers

The answer is 72 Reasoning being that the problem is A length times width situation so 8x9=72

B.A ECO
(b) Prices of three commodities A, B and Crised by 4096, 60% and 90% respectively.
Commodity A is six times more important than Qy and B is three times more important than
C. what is the mean fise of these three commodities?

Answers

gagi i mean hi you I can get over it and white combo for the trial of

Subtract. Write your answer in simplest for. 2/3 - 3/8

Answers

The lowest common denominator of 3 and 8 is 24, thus you must multiply 2/3 by 8/8 and 3/8 by 3/3. This is 16/24-9/24, which is equal to 7/24.
First we need common denominators so we can multiply 2/3 by 8 and 3/8 by 3. Now we would have 16/24 - 9/24 which would be 7/24. 7/24 cannot be simplified because 7 cannot be multiplied by anything to get 24. The answer would be 7/24

What equals -9 when multiplied but -8 when added

Answers

Answer:

1 and -9

Step-by-step explanation:

We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.

1 * -9 = -9

1 + (-9) = -8

Please find 2/3 minus 3/5

Answers

First we need common denominators so we could multiply 2/3 by 5 and 3/5 by 3. Now we have 10/15 and 9/15. 10/15 - 9/15 = 1/15. The answer would be 1/15. Hope this helps and please mark brainliest!

An AlienWare computer cost $4,200. You have a 35% coupon for their products. How much are you able to purchase the computer for?

Answers

Answer:

$1470 coupon of their product I have

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.

What is the perimeter of ABCD?

14 units
38 units
44 units
49 units

Answers

Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

Name three synonyms for "Solution": _____________,___________,______________

Answers

Answer:

1 quick fix            2 solving               3 result

Step-by-step explanation:

hope it helps

w = 4, x = 5, and y = 6
/ = fraction

8x - (6 + y)
w 3/4 = x²
y² - 0.5w
w/4 + 3(x+y)

Answers

Answer:

28, 28, 34, 34

Step-by-step explanation:

8x - (6 + y)

8(5) - (6 + 6)

40-12

28

w ¾ + x²

4(¾) + 5²

3 + 25

28

y² - 0.5w

6² - 0.5(4)

36 - 2

34

w / 4 + 3(x + y)

4 / 4 + 3(5 + 6)

1 + 3(11)

34

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